Consolidated Statements of Changes in Stockholders' Equity Statement - USD ($) $ in Millions	Total	Preferred Stock [Member]	Common Stock [Member]	Additional Paid in Capital - Common Stock [Member]	Retained Earnings [Member]	Accumulated Other Comprehensive Loss [Member]	Treasury Stock, Common	Total Stockholders' Equity
Balance at Jan. 29, 2023	$ 5,012.7	$ 0.0	$ 87.6	$ 3,244.5	$ 4,753.1	$ (713.1)	$ (2,359.4)
Balance (in shares) at Jan. 29, 2023			87,641,611
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	136.0				136.0			$ 136.0
Foreign currency translation adjustments	(16.7)					(16.7)		(16.7)
Net unrealized and realized gain (loss) related to effective cash flow hedges, net of tax expense (benefit)	(2.0)					(2.0)		(2.0)
Net gain (loss) on net investment hedges, net of tax expense (benefit)	(9.8)					(9.8)		(9.8)
Comprehensive income	$ 107.5							107.5
Settlement of awards under stock plans (in shares)			132,809
Settlement of awards under stock plans			$ 0.2	(0.1)				0.1
Stock-based compensation expense				13.1				13.1
Common Stock, Dividends, Per Share, Declared	$ 0.0375
Dividends declaredshare)					(2.4)			(2.4)
Acquisition of treasury shares during period							(4.6)	(4.6)
Balance at Apr. 30, 2023	$ 5,126.4	0.0	$ 87.8	3,257.5	4,886.7	(741.6)	(2,364.0)
Balance (in shares) at Apr. 30, 2023	87,774,420		87,774,420
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Retained earnings	$ 4,886.7
Retained earnings	5,407.3
Balance at Feb. 04, 2024	$ 5,118.9	0.0	$ 88.6	3,313.3	5,407.3	(753.6)	(2,936.7)
Balance (in shares) at Feb. 04, 2024	88,567,275		88,567,275
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	$ 151.4				151.4			151.4
Foreign currency translation adjustments	(14.8)					(14.8)		(14.8)
Net unrealized and realized gain (loss) related to effective cash flow hedges, net of tax expense (benefit)	1.4					1.4		1.4
Net gain (loss) on net investment hedges, net of tax expense (benefit)	2.8					2.8		2.8
Comprehensive income	$ 140.8							140.8
Settlement of awards under stock plans (in shares)			337,076
Settlement of awards under stock plans			$ 0.3	6.7				7.0
Stock-based compensation expense				10.5				10.5
Common Stock, Dividends, Per Share, Declared	$ 0.075
Dividends declaredshare)					(4.3)			(4.3)
Acquisition of treasury shares during period							(213.7)	$ (213.7)
Balance at May. 05, 2024	$ 5,059.2	$ 0.0	$ 88.9	$ 3,330.5	$ 5,554.4	$ (764.2)	$ (3,150.4)
Balance (in shares) at May. 05, 2024	88,904,351		88,904,351
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Retained earnings	$ 5,554.4